Least Common Multiple (LCM) of 181 and 79
The least common multiple (LCM) of 181 and 79 is 14299.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 181 and 79?
First, calculate the GCD of 181 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 79 = 2 remainder 23 |
| 2 | 79 ÷ 23 = 3 remainder 10 |
| 3 | 23 ÷ 10 = 2 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 76 | 4940 |
| 40 and 64 | 320 |
| 118 and 91 | 10738 |
| 182 and 174 | 15834 |
| 142 and 150 | 10650 |